Results 1 to 10 of about 37,901 (272)

Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds

Bulletin of Mathematical Sciences, 2017
In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.
Siraj Uddin
doaj   +5 more sources

Warped Poisson Brackets on Warped Products [PDF]

Journal of Geometric Mechanics, 2015
In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure.
Amrane, Yacine Aït, Nasri, Rafik, Zeglaoui, Ahmed   +2 more
core   +2 more sources

Curvature of Multiply Warped Products [PDF]

Journal of Geometry and Physics, 2004
In this paper, we study Ricci-flat and Einstein Lorentzian multiply warped products. We also consider the case of having constant scalar curvatures for this class of warped products.
Allison, Allison, Allison, Alías, Ambrosetti, Aubin, Badiale, Bañados, Bañados, Beem, Beem, Beem, Beem, Beem, Beem, Besse, Bishop, Bülent Ünal, Chabrowski, Chen, Choi, Choi, Coti Zelati, Dobarro, Duggal, Ehrlich, Ehrlich, Ehrlich, Fernando Dobarro, Fernández-López, Flores, Flores, Folland, Ganchev, Gebarowski, Harvey, Hawking, Hong, Kasner, Katanaev, Kazdan, Kim, Kim, Kim, Kobayashi, Kobayashi, Koike, Kramer, Lohnherr, Matínez, Mikkelsen, Misner, O’Neill, Romero, Socorro, Sánchez, Sánchez, Sánchez, Zhang, Ünal, Ünal   +60 more
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Geometric Inequalities for Warped Products in Riemannian Manifolds

Mathematics, 2021
Warped products are the most natural and fruitful generalization of Riemannian products. Such products play very important roles in differential geometry and in general relativity.
Bang-Yen Chen, Adara M. Blaga
doaj   +3 more sources

Singularity theorems for warped products and the stability of spatial extra dimensions

Journal of High Energy Physics, 2019
New singularity theorems are derived for generic warped-product spacetimes of any dimension. The main purpose is to analyze the stability of (compact or large) extra dimensions against dynamical perturbations.
Nastassja Cipriani, José M. M. Senovilla   +1 more
doaj   +3 more sources

The Geometry of Warped Product Singularities [PDF]

International Journal of Geometric Methods in Modern Physics, 2017
In this article the degenerate warped products of singular semi-Riemannian manifolds are studied. They were used recently by the author to handle singularities occurring in General Relativity, in black holes and at the big-bang. One main result presented
Beem J. K., Kruchkovich G. I., Ovidiu Cristinel Stoica, O’Neill B., Prvanović M., Stoica O. C., Stoica O. C., Stoica O. C., Stoica O. C.   +8 more
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Homology groups in CR-warped products of complex space forms [PDF]

Heliyon
In the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold Nn in a complex ...
Yanlin Li, Akram Ali, Nadia Alluhaibi, Fatemah Mofarreh, Cenap Ozel   +4 more
doaj   +2 more sources

A remark on Einstein warped products [PDF]

Pacific Journal of Mathematics, 2010
We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G.
Besse, Galloway, Gilbarg, Michele Rimoldi, Setti   +4 more
core   +4 more sources

On Landsberg Warped Product Metrics [PDF]

Zurnal matematiceskoj fiziki, analiza, geometrii, 2021
In the present paper the authors discuss the Finsler warped product metrics. They study the Berwald curvature of Finsler warped product metrics. They characterize the Finsler warped product metrics of isotropic Berwald curvature and deduce that they are Randers metrics (Theorem 1.2).
Gabrani, Mehran, Rezaei, Bahman, Sevim, Esra Sengelen   +2 more
openaire   +1 more source

Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold

Cubo, 2022
The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source